Least Common Multiple of 8809 and 8816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8809 and 8816 the smallest integer that is 77660144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8809 and 8816 is 77660144.

LCM(8809,8816) = 77660144

LCM of 8809 and 8816

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8809 and 8816

LCM of 8809 and 8816 is 77660144

Least common multiple can be found by multiplying the highest exponent prime factors of 8809 and 8816. First we will calculate the prime factors of 8809 and 8816.

Prime Factorization of 8809


23 8809
383 383
1

Prime factors of 8809 are 23,383. Prime factorization of 8809 in exponential form is:

8809 = 231×3831

Prime Factorization of 8816


2 8816
2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 8816 are 2, 19,29. Prime factorization of 8816 in exponential form is:

8816 = 24×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8809 and 8816.

LCM(8809,8816) = 24×191×231×291×3831
LCM(8809,8816) = 77660144

Factors of 8809

List of positive integer factors of 8809 that divides 8809 without a remainder.

1, 23, 383, 8809

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816

Least Common Multiple of 8809 and 8816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8809 and 8816, than apply into the LCM equation.

GCF(8809,8816) = 1
LCM(8809,8816) = ( 8809 × 8816) / 1
LCM(8809,8816) = 77660144 / 1
LCM(8809,8816) = 77660144

Properties of LCM 8809 and 8816

(i) The LCM of 8816 and 8809 is associative

LCM of 8809 and 8816 = LCM of 8816 and 8809

Related Least Common Multiples of 8809

Related Least Common Multiples of 8816

Frequently Asked Questions on LCM of 8809 and 8816

1. What is the LCM of 8809 and 8816?

Answer: LCM of 8809 and 8816 is 77660144.

2. What are the Factors of 8809?

Answer: Factors of 8809 are 1, 23, 383, 8809. There are 4 integers that are factors of 8809. The greatest factor of 8809 is 8809.

3. What are the Factors of 8816?

Answer: Factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816. There are 20 integers that are factors of 8816. The greatest factor of 8816 is 8816.

4. How to Find the LCM of 8809 and 8816?

Answer:

Least Common Multiple of 8809 and 8816 = 77660144

Step 1: Find the prime factorization of 8809

8809 = 23 x 383

Step 2: Find the prime factorization of 8816

8816 = 2 x 2 x 2 x 2 x 19 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 77660144 = 2 x 2 x 2 x 2 x 19 x 23 x 29 x 383

Step 4: Therefore, the least common multiple of 8809 and 8816 is 77660144.